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arXiv · 2411.12116

Existence of weak solutions for a degenerate Goursat type linear problem

Olimpio Hiroshi Miyagaki·Carlos Alberto Reyes Peña·Rodrigo da Silva Rodrigues
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Abstract

For a generalization of the Gellerstedt operator with mixed-type Dirichlet boundary conditions to a suitable Tricomi domain, we prove the existence and uniqueness of weak solutions of the linear problem and for a generalization of this problem. The classical method introduced by Didenko, which study the energy integral argument, will be used to prove estimates for a specific Tricomi domain.

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Olimpio Hiroshi Miyagaki, Carlos Alberto Reyes Peña, Rodrigo da Silva Rodrigues. 2024-11-18. Existence of weak solutions for a degenerate Goursat type linear problem. https://arxiv.org/abs/2411.12116

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